Some aspects of Property for

DOI10.1002/MANA.201400402zbMath1373.32029OpenAlexW2515049577MaRDI QIDQ5272521

Yue Zhang

Publication date: 29 June 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400402

zbMATH Keywords

fine topologypseudoconvex domains\(\bar \partial\)-Neumann operator

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (2)

Sufficient condition for compactness of the \overline{∂}-Neumann operator using the Levi core ⋮ Sufficient conditions for compactness of the \(\bar{\partial}\)-Neumann operator on high level forms

Cites Work

• Une classe de domaines pseudoconvexes. (A class of pseudoconvex domains)
• Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains
• The Dirichlet Laplacian on finely open sets
• Compactness of the Neumann operator for hyperconvex domains with non-smooth \(B\)-regular boundary
• Positivity conditions for bihomogeneous polynomials
• Semi-classical analysis of Schrödinger operators and compactness in the \(\bar\partial\)-Neumann problem
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
• Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect
• Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem
• Non‐coercive boundary value problems
• On the compactness of the \(\overline{\partial}\)-Neumann operator

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